Apply Lagrange's equations, to show that the equations of motion of the double pendulum of Fig. 28-10 are given by 01 m1 P1 12 %3D (m1 + m2)l81 + mglzö2 + (m1 + m2) gº1 = 0 and 181+ lg82 + g82 = 0 P2 for small angles 01, 02.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Apply Lagrange's equations, to
show that the equations of motion of the double
pendulum of Fig. 28-10 are given by
01
m1
P1
%3D
(m1 + m2)l81 + malz82 + (m1 + m2) g®1 = 0
l81+ lg82 + g®2 = 0
m2
P2
and
%3D
for small angles 01, 02.
Transcribed Image Text:Apply Lagrange's equations, to show that the equations of motion of the double pendulum of Fig. 28-10 are given by 01 m1 P1 %3D (m1 + m2)l81 + malz82 + (m1 + m2) g®1 = 0 l81+ lg82 + g®2 = 0 m2 P2 and %3D for small angles 01, 02.
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